Finding the Third Proportional to 137,718 and 291,973.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,718 : 291,973.50 = 291,973.50 : x
2. Step 2: Convert to fraction form
   137,718/291,973.50 = 291,973.50/x
3. Step 3: Cross multiply
   137,718x = 291,973.50 × 291,973.50
4. Step 4: Simplify right side
   137,718x = 85,248,524,702.25
5. Step 5: Solve for x
   x = 85,248,524,702.25/137,718
6. Step 6: Final answer
   x = 619,007.86